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Finding the Fourth Proportional to 217,876.78, 326,741.68 and 82,908.81

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Solution

The fourth proportional to 217,876.78, 326,741.68 and 82,908.81 is: 124,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,876.78 : 326,741.68 = 82,908.81 : x
  2. Step 2: Convert to fraction form
    217,876.78/326,741.68 = 82,908.81/x
  3. Step 3: Cross multiply
    217,876.78x = 326,741.68 × 82,908.81
  4. Step 4: Simplify right side
    217,876.78x = 27,089,763,969.84
  5. Step 5: Solve for x
    x = 27,089,763,969.84/217,876.78
  6. Step 6: Final answer
    x = 124,335.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.